Probability-based feedback gain scheduling for stabilizing switched linear stochastic systems under delayed sampled mode information

Ahmet Cetinkaya, Tomohisa Hayakawa

Research output: Contribution to journalConference articlepeer-review

Abstract

Feedback control problem for continuous-time switched linear stochastic systems is explored for the case where the mode of the system is sampled periodically and the sampled mode information is subject to time delays. Specifically, we develop a control framework that guarantees stabilization of the zero solution. Our control framework relies on a probability-based feedback gain scheduling scheme that utilizes the available delayed sampled mode data as well as a priori information concerning the probabilistic dynamics of the mode signal. We obtain sufficient conditions of almost sure asymptotic stabilization. Finally, we present an illustrative numerical example to demonstrate the efficacy of our approach.

Original languageEnglish
Article number6426094
Pages (from-to)6843-6848
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
DOIs
Publication statusPublished - 2012
Externally publishedYes
Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
Duration: 2012 Dec 102012 Dec 13

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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